3(x-6)(x+2)
hope this helps
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
Answer:
32
Step-by-step explanation:
To answer this question, you have to divide 2,176 by 68.
The mean speed of the 100 cars is 55.4
<h3>How to determine the mean?</h3>
The table of values is given as:
Speed (MPH) Cars
30-39 5
40-49 18
50-59 50
60-69 17
70-79 10
Rewrite the frequency table to include the class midpoints
x f
34.5 5
44.5 18
54.5 50
64.5 17
74.5 10
The mean speed is then calculated as:
So, we have:
Evaluate
Hence, the mean speed is 55.4
Read more about mean at:
brainly.com/question/14532771
#SPJ1
